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MULTIPLICATION STRATEGIES
Traditional Algorithm New Options: Partial Products Area Model (Array) Lattice Method
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Distributive Property
5 x 39 = ? 39 = x 39 = (5 x 30) + (5 x 9) = = 195
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Review - Expanded Form 53 = 50 + 3 639 = 600 + 30 + 9
4,315 = 4,
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Standard – 1 by 3 1 4 639 x 5 3,1 9 5
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Expanded Algorithm- Partial Products – 1 by 3 639 x 5 45 5 x 9 150
639 = 639 x 5 45 5 x 9 150 5 x 30 + 3000 5 x 600 3,195
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Your Turn Solve the following using the expanded algorithm. 148 x 5
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Area Model – 1 by 3 5 x 639 = ? 30 9 + x 600 5 3,000 150 45 150 + 45 3,195 3,000 5 x 639 = 3,195
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Your Turn Solve the following using the area model 35 x 4
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Your Turn Solve the following using the area model 245 x 2
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Lattice Method – 1 by 3 5 x 639 3 5 9 x 6 3 1 5 4 5 3 1 9 5 5 x 639 = 3,195
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Your Turn Solve the following using the Lattice Method. 436 x 5
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Your Turn Solve the following using the Lattice Method. 5362 x 2
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Your Turn Solve the following using a method of your choice other than the standard algorithm. 3,572 x 5
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